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Unit Weight of Water given Upward Force due to Seepage Water Formula

GoUnit Weight of Water given Effective Normal Stress Formula

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Unit Weight of Water is mass per unit of water. Check FAQs

γ water = \frac{F u}{z \cdot {(\cos (\frac{i \cdot π}{180}))}^{2}}

γ_water - Unit Weight of Water?F_u - Upward Force in Seepage Analysis?z - Depth of Prism?i - Angle of Inclination to Horizontal in Soil?π - Archimedes' constant?

Unit Weight of Water given Upward Force due to Seepage Water Example

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Here is how the Unit Weight of Water given Upward Force due to Seepage Water equation looks like with Values.

Here is how the Unit Weight of Water given Upward Force due to Seepage Water equation looks like with Units.

Here is how the Unit Weight of Water given Upward Force due to Seepage Water equation looks like.

17.6367 = \frac{52.89}{3 \cdot {(\cos (\frac{64 \cdot 3.1416}{180}))}^{2}}

17.6367kN/m³ = \frac{52.89kN/m²}{3m \cdot {(\cos (\frac{64° \cdot 3.1416}{180}))}^{2}}

17.6367 = \frac{52.89}{3 \cdot {(\cos (\frac{64 \cdot 3.1416}{180}))}^{2}}

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Unit Weight of Water given Upward Force due to Seepage Water Solution

Follow our step by step solution on how to calculate Unit Weight of Water given Upward Force due to Seepage Water?

FIRST Step Consider the formula

γ water = \frac{F u}{z \cdot {(\cos (\frac{i \cdot π}{180}))}^{2}}

Next Step Substitute values of Variables

∴

γ water = \frac{52.89kN/m²}{3m \cdot {(\cos (\frac{64° \cdot π}{180}))}^{2}}

Next Step Substitute values of Constants

∴

γ water = \frac{52.89kN/m²}{3m \cdot {(\cos (\frac{64° \cdot 3.1416}{180}))}^{2}}

Next Step Convert Units

∴

γ water = \frac{52890Pa}{3m \cdot {(\cos (\frac{1.117rad \cdot 3.1416}{180}))}^{2}}

Next Step Prepare to Evaluate

∴

γ water = \frac{52890}{3 \cdot {(\cos (\frac{1.117 \cdot 3.1416}{180}))}^{2}}

Next Step Evaluate

∴

γ water = 17636.7024222293N/m³

Next Step Convert to Output's Unit

∴

γ water = 17.6367024222293kN/m³

LAST Step Rounding Answer

∴

γ water = 17.6367kN/m³

Unit Weight of Water given Upward Force due to Seepage Water Formula Elements

Variables

Constants

Functions

Unit Weight of Water

Unit Weight of Water is mass per unit of water.

Symbol: γ_water

Measurement: Specific WeightUnit: kN/m³

Note: Value should be greater than 0.

Formulas to find Unit Weight of Water

Upward Force in Seepage Analysis

Upward Force in Seepage Analysis is due to seepage water.

Symbol: F_u

Measurement: PressureUnit: kN/m²

Note: Value should be greater than 0.

Formulas to find Upward Force in Seepage Analysis

Depth of Prism

Depth of Prism is the length of prism along z direction.

Symbol: z

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Depth of Prism

Angle of Inclination to Horizontal in Soil

Angle of Inclination to Horizontal in Soil is defined as the angle measured from the horizontal surface of the wall or any object.

Symbol: i

Measurement: AngleUnit: °

Note: Value should be greater than 0.

Formulas to find Angle of Inclination to Horizontal in Soil

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

cos

Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle.

Syntax: cos(Angle)

Other Formulas to find Unit Weight of Water

Go Unit Weight of Water given Effective Normal Stress

γ water = γ saturated - (\frac{σ'}{z \cdot {(\cos (\frac{i \cdot π}{180}))}^{2}})

Other formulas in Steady State Seepage Analysis Along The Slopes category

Go Weight of Soil Prism given Saturated Unit Weight

W prism = (γ saturated \cdot z \cdot b \cdot \cos (\frac{i \cdot π}{180}))

Go Inclined Length of Prism given Saturated Unit Weight

b = \frac{W prism}{γ saturated \cdot z \cdot \cos (\frac{i \cdot π}{180})}

Go Vertical Stress on Prism given Saturated Unit Weight

σ zkp = (γ saturated \cdot z \cdot \cos (\frac{i \cdot π}{180}))

Go Normal Stress Component given Saturated Unit Weight

σ n = (γ saturated \cdot z \cdot {(\cos (\frac{i \cdot π}{180}))}^{2})

How to Evaluate Unit Weight of Water given Upward Force due to Seepage Water?

Unit Weight of Water given Upward Force due to Seepage Water evaluator uses Unit Weight of Water = Upward Force in Seepage Analysis/(Depth of Prism*(cos((Angle of Inclination to Horizontal in Soil*pi)/180))^2) to evaluate the Unit Weight of Water, The Unit Weight of Water given Upward Force due to Seepage Water is defined as the value of unit weight of water when we have prior information of other parameters used. Unit Weight of Water is denoted by γ_water symbol.

How to evaluate Unit Weight of Water given Upward Force due to Seepage Water using this online evaluator? To use this online evaluator for Unit Weight of Water given Upward Force due to Seepage Water, enter Upward Force in Seepage Analysis (F_u), Depth of Prism (z) & Angle of Inclination to Horizontal in Soil (i) and hit the calculate button.

FAQs on Unit Weight of Water given Upward Force due to Seepage Water

What is the formula to find Unit Weight of Water given Upward Force due to Seepage Water?

The formula of Unit Weight of Water given Upward Force due to Seepage Water is expressed as Unit Weight of Water = Upward Force in Seepage Analysis/(Depth of Prism*(cos((Angle of Inclination to Horizontal in Soil*pi)/180))^2). Here is an example- 0.006669 = 52890/(3*(cos((1.11701072127616*pi)/180))^2).

How to calculate Unit Weight of Water given Upward Force due to Seepage Water?

With Upward Force in Seepage Analysis (F_u), Depth of Prism (z) & Angle of Inclination to Horizontal in Soil (i) we can find Unit Weight of Water given Upward Force due to Seepage Water using the formula - Unit Weight of Water = Upward Force in Seepage Analysis/(Depth of Prism*(cos((Angle of Inclination to Horizontal in Soil*pi)/180))^2). This formula also uses Archimedes' constant and Cosine (cos) function(s).

What are the other ways to Calculate Unit Weight of Water?

Here are the different ways to Calculate Unit Weight of Water-

Unit Weight of Water=Saturated Unit Weight of Soil-(Effective Normal Stress in Soil Mechanics/(Depth of Prism*(cos((Angle of Inclination to Horizontal in Soil*pi)/180))^2))

Can the Unit Weight of Water given Upward Force due to Seepage Water be negative?

No, the Unit Weight of Water given Upward Force due to Seepage Water, measured in Specific Weight cannot be negative.

Which unit is used to measure Unit Weight of Water given Upward Force due to Seepage Water?

Unit Weight of Water given Upward Force due to Seepage Water is usually measured using the Kilonewton per Cubic Meter[kN/m³] for Specific Weight. Newton per Cubic Meter[kN/m³], Newton per Cubic Centimeter[kN/m³], Newton per Cubic Millimeter[kN/m³] are the few other units in which Unit Weight of Water given Upward Force due to Seepage Water can be measured.

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Unit Weight of Water given Upward Force due to Seepage Water Formula

​GoUnit Weight of Water given Effective Normal Stress Formula

Unit Weight of Water given Upward Force due to Seepage Water Example

Unit Weight of Water given Upward Force due to Seepage Water Solution

Unit Weight of Water given Upward Force due to Seepage Water Formula Elements

Other Formulas to find Unit Weight of Water

Other formulas in Steady State Seepage Analysis Along The Slopes category

How to Evaluate Unit Weight of Water given Upward Force due to Seepage Water?

FAQs on Unit Weight of Water given Upward Force due to Seepage Water

Variable Name

GoUnit Weight of Water given Effective Normal Stress Formula